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CCCG
2009
14 years 8 months ago
On symmetric realizations of the simplicial complex of 3-crossing-free sets of diagonals of the octagon
Motivated by the question of the polytopal realizability of the simplicial complex n,k of (k + 1)-crossing-free sets of diagonals of the convex n-gon, we study the first open case...
Jürgen Bokowski, Vincent Pilaud
CCCG
2009
14 years 11 months ago
Enumeration of Polyominoes for p4 Tiling
Polyominoes are the two dimensional shapes made by connecting n unit squares, joined along their edges. In this paper, we propose algorithms to enumerate polyominoes for p4 tiling...
Takashi Horiyama, Masato Samejima
CCCG
2009
14 years 11 months ago
Optimal Empty Pseudo-Triangles in a Point Set
Given n points in the plane, we study three optimization problems of computing an empty pseudo-triangle: we consider minimizing the perimeter, maximizing the area, and minimizing ...
Hee-Kap Ahn, Sang Won Bae, Iris Reinbacher
CCCG
2009
14 years 11 months ago
Generalized jewels and the point placement problem
The point placement problem is to determine the positions of a linear set of points, P = {p1, p2, p3, . . . , pn}, uniquely, up to translation and reflection, from the fewest poss...
Md. Shafiul Alam, Asish Mukhopadhyay, Animesh Sark...
CCCG
2009
14 years 8 months ago
Wireless Localization with Vertex Guards is NP-hard
We consider a special class of art gallery problems inspired by wireless localization. Given a simple polygon P, place and orient guards each of which broadcasts a unique key with...
Tobias Christ, Michael Hoffmann